The GOP presidential hopeful, standing alongside his newly announced potential running mate in Carly Fiorina, also said he had no previous working relationship with Boehner.

"Truth of the matter is I don't know the man," Cruz said, adding that he'd be surprised if he's said more than 50 words to him. "I've met the man two or three times."

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John Boehner during his time as speaker

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Ted Cruz: John Boehner 'allowed his inner Trump to come out'

WASHINGTON, DC - SEPTEMBER 24: Speaker of the House John Boehner (R-OH) (R) speaks with Pope Francis (L) in the U.S. Capitol building before the Pontiff speaks to a joint meeting of Congress September 24, 2015 in Washington, DC. Pope Francis will be the first Pope to ever address a joint meeting of Congress. The Pope is on a six-day trip to the U.S., with stops in Washington, New York City and Philadelphia. (Photo By Bill Clark-PoolGetty Images)

WASHINGTON, DC - MARCH 19: Speaker of the House John Boehner (R-OH) arrives for his weekly press conference at the U.S. Capitol on March 19, 2015 in Washington, DC. Boehner answered questions on the Republican budget, Hillary Clinton's emails, and other topics during the press conference. (Photo by Win McNamee/Getty Images)

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Cruz and Boehner frequently clashed during their time in Congress, prominently leading up to and during the 2013 federal-government shutdown. On Thursday, Cruz launched into a story about a time he claimed to have attempted to work with Boehner during the shutdown, during which Cruz had outsized influence over the Republican strategy:

This is something that's not publicly known. During the government shutdown, I reached out to John Boehner, and I offered for [Utah Sen.] Mike Lee and me to come over and work with the speaker and actually get something done to stop the disaster that is Obamacare.

John Boehner's response was, "I have no interest in talking to you. What could possibly be accomplished by talking. No I will not meet."

So when he says I'm the worst guy he's ever worked with, he's never worked with me.

He continued: "I have Democrat friends and Republican friends. I get along with almost everyone, but I have never worked with a more miserable son of a b**** in my life."

Boehner said he would vote for GOP presidential frontrunner Donald Trump in a general election. He said he had played golf with the Manhattan billionaire, whom Boehner considers a "texting" buddy. Boehner said, however, that he would not vote for Cruz if Cruz became the nominee.

Boehner has leveled several rounds of blunt criticism at Cruz over the past few years, and the two repeatedly clashed when Boehner led the House Republican caucus. Late last year, Boehner referred to Cruz as a "false prophet" and a "jackass."